MinT - Best Known (92, 130, s)-Nets in Base 4

Best Known (92, 130, s)-Nets in Base 4

(92, 130, 384)-Net over F₄ — Constructive and digital

Digital (92, 130, 384)-net over F₄, using

4¹ times duplication [i] based on digital (91, 129, 384)-net over F₄, using
- trace code for nets [i] based on digital (5, 43, 128)-net over F₆₄, using
  - net from sequence [i] based on digital (5, 127)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, using
      - a function field by SÃ©mirat [i]

(92, 130, 655)-Net over F₄ — Digital

Digital (92, 130, 655)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(92, 130, 34774)-Net in Base 4 — Upper bound on s

There is no (92, 130, 34775)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 1 853197 924010 849318 696613 680054 371318 891566 627941 893255 227156 139081 950880 793296 > 4¹³⁰ [i]